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Simplifying t + 2t + 15 = 2t + 30 Reorder the terms: 15 + t + 2t = 2t + 30 Combine like terms: t + 2t = 3t 15 + 3t = 2t + 30 Reorder the terms: 15 + 3t = 30 + 2t Solving 15 + 3t = 30 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 15 + 3t + -2t = 30 + 2t + -2t Combine like terms: 3t + -2t = 1t 15 + 1t = 30 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + 1t = 30 + 0 15 + 1t = 30 Add '-15' to each side of the equation. 15 + -15 + 1t = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 1t = 30 + -15 1t = 30 + -15 Combine like terms: 30 + -15 = 15 1t = 15 Divide each side by '1'. t = 15 Simplifying t = 15
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